Minimize z 5.97x1+4.5x2+ 4.41x3 (hundreds of dollars) s.t: 7x1+?x2+?x3 > 140 (production capacity: hours) (warehouse capacity; hundreds of sq. ft.) ?x1+ 7x2 + ?x3 5 200 ?x1+7x2 = 5 x1, x2 , x3 20 (demand for 6 oz. glasses: hundreds of cases) Basis CB S1 -0.13 5X1 4.6X2 1.25 S2 4.41X3 RHS X3 a3 -0.75 4.41 10.7 $2 11.25 1.25 -2.5 11.5 5.97 1. 0.1 8. C-2 How much is it worth an extra hour added to b1 on the optimal solution?
Minimize z 5.97x1+4.5x2+ 4.41x3 (hundreds of dollars) s.t: 7x1+?x2+?x3 > 140 (production capacity: hours) (warehouse capacity; hundreds of sq. ft.) ?x1+ 7x2 + ?x3 5 200 ?x1+7x2 = 5 x1, x2 , x3 20 (demand for 6 oz. glasses: hundreds of cases) Basis CB S1 -0.13 5X1 4.6X2 1.25 S2 4.41X3 RHS X3 a3 -0.75 4.41 10.7 $2 11.25 1.25 -2.5 11.5 5.97 1. 0.1 8. C-2 How much is it worth an extra hour added to b1 on the optimal solution?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 43E
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Transcribed Image Text:QUESTION 8
Minimize z= 5.97x1 + 4.5x2 + 4.41x3 (hundreds of dollars)
s.t:
?x1+ ?x2 + ?x3 > 140
(production capacity; hours)
(warehouse capacity; hundreds of sq. ft.)
(demand for 6 oz. glasses; hundreds of cases)
?x1+?x2+?x3 5 200
?x1+?x2 = 5
x1, x2, x320
Basis
CB
4.41
S1
5X1
4.5X2
-1.25
S2
4.41X3
a3
RHS
X3
$2
X1
-0.13
-0.75
10.7
11.25
1.25
-2.5
11.5
5.97
1.
0.1
8.
C-Z
How much is it worth an extra hour added to b1 on the optimal solution?
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